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\caption{RD Estimates of Platform Pop-Up Effects\label{tab:vaDecomp}}
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  &\multicolumn{1}{c}{(1)} &\multicolumn{1}{c}{(2)}\\
 &\multicolumn{2}{c}{All}\\\cline{2-3}
  &\multicolumn{1}{c}{} &\multicolumn{1}{c}{IV}\\\midrule

Add any  & 0.216 &  \\ 
  & (0.010) &  \\ 
Value added (VA)  & 0.022 & 0.103 \\ 
  & (0.011) & (0.051) \\ 
Enrolled in oversubscribed ($type=over$)  & 0.039 & 0.178 \\ 
  & (0.010) & (0.048) \\ 
Enrolled in oversubscribed ($type=over$)$|$not missing VA  & 0.022 & 0.103 \\ 
  & (0.014) & (0.065) \\ 
$E[VA|type]$  & 0.005 & 0.023 \\ 
  & (0.003) & (0.014) \\ 
$VA-E[VA|type]$  & 0.017 & 0.080 \\ 
  & (0.011) & (0.050) \\ 
$(VA-E[VA|type])|type=under$  & 0.029 & 0.131 \\ 
  & (0.020) & (0.091) \\ 
$(VA-E[VA|type])|type=over$  & 0.013 & 0.063 \\ 
  & (0.012) & (0.059) \\ 
   &   &   \\ 
NL  & 10,782 & 10,782 \\ 
%  &  &  \\ 
NR  & 11,285 & 11,285 \\ 
%  &  &  \\ 
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\floatfoot{\footnotesize
\textit{Notes. }Local linear RD estimates of pop-up effects from warning pop-up on application platform. Computed using triangular kernel with bandwidth 0.1. Heteroskedasticity-robust nearest neighbor variance estimator with minimum of 3 neighbors reported in parentheses; computed as in \citet{calonico2014robust}. We report estimates in the pooled sample across years 2018-2020. IV (column 2) shows the instrumental variable specifications, where the endogenous regressor is the add any school indicator. ``Add any'' is the first stage indicator for adding at least one school to the choice application. ``Value added (VA)'' repeats main text results on value added at the enrolled school. ``Enrolled in oversubscribed'' is an indicator for enrolling in a school with a binding capacity constraint. ``Enrolled in oversubscribed $|$ not missing VA'' restricts the sample to students enrolling in schools where value added measures are available. ``$E[VA|type]$'' is the mean value added for the enrolled school given over/underscription status, and ``$VA-E[VA|type]$'' is the deviation of value added at the enrolled school from the type-specific mean. ``$VA-E[VA|type]|type=over/under$'' additionally conditions on the sample on students enrolling in over- or under-subscribed schools, respectively.
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